Need help with pipe flow question!!

Forum about flow calculators available on pipeflowcalculations.com and how to find solution for your fluid flow problem.
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nads
Posts: 1
Joined: Wed Nov 10, 2010 6:32 pm

Need help with pipe flow question!!

Post by nads »

1) A pipe of diameter 10 cm, with an orifice of diameter 1.25 cm points straight up, and the stream of orange juice it is delivering reaches a height of 20 m. Find the flow velocity in the hose and the volume of orange juice flowing per unit time, neglecting the effect of air resistance on the stream.

3) Blood, during transfusion, flows from a bottle through a needle that is 3.5 cm long and has an inside diameter of 0.60 mm. How high above the needle must the bottle be held in order to transfuse 0.50 L of blood in 40 min? The density of whole blood is 1050 kg/m3 and the viscosity of whole blood is 2.7 X 103 N.s/ m2. Assume the patient’s blood is nearly at atmospheric pressure.

4) A 1.3-m length of horizontal pipe has a radius of 6.4 X 10-3m. Water flows with a volume flow rate of 9.0 X 10-3 m3/s out of the right end of the pipe and into the air. What is the pressure in the flowing water at the left end of the pipe if the water behaves as (a) an ideal fluid and (b) a viscous fluid (the viscosity of water is 1.00 X 10-3 Pa.s)
admin
Site Admin
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Joined: Mon Feb 08, 2010 7:47 pm

Re: Need help with pipe flow question!!

Post by admin »

1) First, using Bernoulli theorem at
http://www.pipeflowcalculations.com/pip ... heorem.php, you can calculate velocity on the orifice outlet, as pressures p1 = p2 = p atm, Z1 = 0, Z2=20 m, v2=0, v1=?

With calculated v1 - that is velocity in orifice outlet, you can calculate flow rate, for known orifice diameter, using diameter calculator at
http://www.pipeflowcalculations.com/flowrate/ and mean velocity theory at http://www.pipeflowcalculations.com/pip ... locity.php.

Velocity in hose also can be calculated using above calculator now for hose diameter and same flow rate.

3) Height of bottle depends on the required pressure to enable required flow rate. Using Darcy formula at http://www.pipeflowcalculations.com/pip ... fluids.php
you can calculate pressure for known flow rate, pipe diameter, pipe length and friction factor for laminar flow like described at
http://www.pipeflowcalculations.com/pip ... factor.php.

With calculated pressure drop, height is equal to H=p/rho * g

4) Similar as above, but if water is not viscous, pressure on the left side is enough to be same as on the right - which is atmospheric. For water as viscous fluid similar approach as above, just use pressure drop calculator at http://www.pipeflowcalculations.com/pip ... factor.php and above mentioned theory pages.
Pipe flow calculations - since 2000
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